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214306764 = 22376533907
BaseRepresentation
bin11001100011000…
…00111111001100
3112221020220121120
430301200333030
5414330304024
633133200540
75211402030
oct1461407714
9487226546
10214306764
11aaa74931
125b930150
1335526249
14206681c0
1513c33479
hexcc60fcc

214306764 has 48 divisors (see below), whose sum is σ = 572506368. Its totient is φ = 61121088.

The previous prime is 214306739. The next prime is 214306783. The reversal of 214306764 is 467603412.

It is a happy number.

214306764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52899 + ... + 56805.

It is an arithmetic number, because the mean of its divisors is an integer number (11927216).

Almost surely, 2214306764 is an apocalyptic number.

It is an amenable number.

214306764 is an abundant number, since it is smaller than the sum of its proper divisors (358199604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214306764 is a wasteful number, since it uses less digits than its factorization.

214306764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 214306764 is about 14639.2200611918. The cubic root of 214306764 is about 598.4280742343.

The spelling of 214306764 in words is "two hundred fourteen million, three hundred six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 653 1306 1959 2612 3907 3918 4571 7814 7836 9142 11721 13713 15628 18284 23442 27349 27426 46884 54698 54852 82047 109396 164094 328188 2551271 5102542 7653813 10205084 15307626 17858897 30615252 35717794 53576691 71435588 107153382 214306764